Y^4-26y^2+25=0

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Solution for Y^4-26y^2+25=0 equation: 


Simplifying
Y4 + -26y2 + 25 = 0

Reorder the terms:
25 + Y4 + -26y2 = 0

Solving
25 + Y4 + -26y2 = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + Y4 + -25 + -26y2 = 0 + -25

Reorder the terms:
25 + -25 + Y4 + -26y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + Y4 + -26y2 = 0 + -25
Y4 + -26y2 = 0 + -25

Combine like terms: 0 + -25 = -25
Y4 + -26y2 = -25

Add '26y2' to each side of the equation.
Y4 + -26y2 + 26y2 = -25 + 26y2

Combine like terms: -26y2 + 26y2 = 0
Y4 + 0 = -25 + 26y2
Y4 = -25 + 26y2

Simplifying
Y4 = -25 + 26y2

Reorder the terms:
25 + Y4 + -26y2 = -25 + 26y2 + 25 + -26y2

Reorder the terms:
25 + Y4 + -26y2 = -25 + 25 + 26y2 + -26y2

Combine like terms: -25 + 25 = 0
25 + Y4 + -26y2 = 0 + 26y2 + -26y2
25 + Y4 + -26y2 = 26y2 + -26y2

Combine like terms: 26y2 + -26y2 = 0
25 + Y4 + -26y2 = 0

Factor a trinomial.
(Y2 + -1y)(Y2 + 26y) = 0


Subproblem 1
Set the factor '(Y2 + -1y)' equal to zero and attempt to solve:

Simplifying
Y2 + -1y = 0

Solving
Y2 + -1y = 0

Move all terms containing Y to the left, all other terms to the right.

Add 'y' to each side of the equation.
Y2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
Y2 + 0 = 0 + y
Y2 = 0 + y
Remove the zero:
Y2 = y

Simplifying
Y2 = y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(Y2 + 26y)' equal to zero and attempt to solve:

Simplifying
Y2 + 26y = 0

Solving
Y2 + 26y = 0

Move all terms containing Y to the left, all other terms to the right.

Add '-26y' to each side of the equation.
Y2 + 26y + -26y = 0 + -26y

Combine like terms: 26y + -26y = 0
Y2 + 0 = 0 + -26y
Y2 = 0 + -26y
Remove the zero:
Y2 = -26y

Simplifying
Y2 = -26y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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